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76328034048 = 28357237621
BaseRepresentation
bin100011100010110000…
…0010101111100000000
321022000102122212200000
41013011200111330000
52222304434042143
655021542400000
75341323404340
oct1070540257400
9238012585600
1076328034048
112a409204782
1212962130000
1372754783b6
1439a1214d20
151ebae43bd3
hex11c5815f00

76328034048 has 432 divisors, whose sum is σ = 272202717696. Its totient is φ = 20857098240.

The previous prime is 76328034023. The next prime is 76328034049. The reversal of 76328034048 is 84043082367.

76328034048 is a `hidden beast` number, since 7 + 632 + 8 + 0 + 3 + 4 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 76328033994 and 76328034012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76328034049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10011678 + ... + 10019298.

Almost surely, 276328034048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76328034048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136101358848).

76328034048 is an abundant number, since it is smaller than the sum of its proper divisors (195874683648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76328034048 is an equidigital number, since it uses as much as digits as its factorization.

76328034048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7682 (or 7656 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 76328034048 in words is "seventy-six billion, three hundred twenty-eight million, thirty-four thousand, forty-eight".